MCAS 10th Grade Geometry

Please complete the following questions individually. You may ask your breakout room for help or work through them together. Reference the MCAS formulas sheet for formula help but do not use any other tools to help you solve. Doing so will only impact your efforts when you take the MCAS in real life.

1

A right circular cone and its dimensions are shown in the diagram below.
Which of the following is closest to the volume of the cone?

66 in.^3

115 in.^3

132 in.^3

462 in.^3

1

The height of right circular cylinder P
is twice the height of right circular
cylinder Q. The radii of the cylinders are
of equal length.
What number times the volume of
cylinder Q is equal to the volume of
cylinder P?

2

4

6

8

1

225π

600π

1200π

9000π

1

A right circular cone has a volume of 39 cubic inches and a radius of 2 1/2 inches. Which of the following is closest to the height of the cone?

0.7 inch

0.8 inch

6 inches

7 inches

1

13 cm^3

38 cm^3

113 cm^3

151 cm^3

1

The radius of a large sphere is 8 times
the radius of a small sphere.
The surface area of the large sphere is
how many times the surface area of the
small sphere?

8

32

64

512

1

A rectangle has a length of
15 centimeters and a width of
8 centimeters.
Which of the following is
closest to the radius of a circle
that has an area equal to the area
of the rectangle?

3 cm

6 cm

11 cm

19 cm

1

75 sq. in.

82 sq. in.

151 sq. in.

207 sq. in.

1

a

b

c

d

1

47,415 sq. ft.

68,440 sq. ft.

94,830 sq. ft.

115,855 sq. ft.

1

a

b

c

d

1

a

b

c

d

0

Optional added practice:

a

b

c

d

0

Optional extra practice:

a

b

c

d

MCAS 10th Grade Geometry

A right circular cone and its dimensions are shown in the diagram below.Which of the following is closest to the volume of the cone?

The height of right circular cylinder Pis twice the height of right circularcylinder Q. The radii of the cylinders areof equal length.What number times the volume ofcylinder Q is equal to the volume ofcylinder P?

A right circular cone has a volume of 39 cubic inches and a radius of 2 1/2 inches. Which of the following is closest to the height of the cone?

The radius of a large sphere is 8 timesthe radius of a small sphere.The surface area of the large sphere ishow many times the surface area of thesmall sphere?

A rectangle has a length of15 centimeters and a width of8 centimeters.Which of the following isclosest to the radius of a circlethat has an area equal to the areaof the rectangle?

Optional added practice:

Optional extra practice:

A right circular cone and its dimensions are shown in the diagram below.Which of the following is closest to the volume of the cone?

The height of right circular cylinder Pis twice the height of right circularcylinder Q. The radii of the cylinders areof equal length.What number times the volume ofcylinder Q is equal to the volume ofcylinder P?

A right circular cone has a volume of 39 cubic inches and a radius of 2 1/2 inches. Which of the following is closest to the height of the cone?

The radius of a large sphere is 8 timesthe radius of a small sphere.The surface area of the large sphere ishow many times the surface area of thesmall sphere?

A rectangle has a length of15 centimeters and a width of8 centimeters.Which of the following isclosest to the radius of a circlethat has an area equal to the areaof the rectangle?

Optional added practice:

Optional extra practice:

A right circular cone and its dimensions are shown in the diagram below.
Which of the following is closest to the volume of the cone?

The height of right circular cylinder P
is twice the height of right circular
cylinder Q. The radii of the cylinders are
of equal length.
What number times the volume of
cylinder Q is equal to the volume of
cylinder P?

The radius of a large sphere is 8 times
the radius of a small sphere.
The surface area of the large sphere is
how many times the surface area of the
small sphere?

A rectangle has a length of
15 centimeters and a width of
8 centimeters.
Which of the following is
closest to the radius of a circle
that has an area equal to the area
of the rectangle?

A right circular cone and its dimensions are shown in the diagram below.
Which of the following is closest to the volume of the cone?

The height of right circular cylinder P
is twice the height of right circular
cylinder Q. The radii of the cylinders are
of equal length.
What number times the volume of
cylinder Q is equal to the volume of
cylinder P?

The radius of a large sphere is 8 times
the radius of a small sphere.
The surface area of the large sphere is
how many times the surface area of the
small sphere?

A rectangle has a length of
15 centimeters and a width of
8 centimeters.
Which of the following is
closest to the radius of a circle
that has an area equal to the area
of the rectangle?